CBSE Class 10 Mathematics MCQs Set A with answers available in Pdf for free download. The MCQ Questions for Class 10 Mathematics with answers have been prepared as per the latest syllabus, NCERT books and examination pattern suggested in Standard 10 by CBSE, NCERT and KVS. Multiple Choice Questions are an important part of Term 1 and Term 2 exams for Grade 10 Mathematics and if practiced properly can help you to get higher marks. Refer to more Chapter-wise MCQs for NCERT Class 10 Mathematics and also download more latest study material for all subjects

## Mathematics Class 10 MCQ

Class 10 Mathematics students should refer to the following multiple-choice questions with answers for Mathematics in standard 10. These MCQ questions with answers for Grade 10 Mathematics will come in exams and help you to score good marks

### Class 10 Mathematics MCQ Questions with Answers

#### Question: If (3,4) is extremity of a diameter of a circle with centre (1,2) the other extremity of the diameter is

- a) (-3,4)
- b) (-1,0)
- c) (4,3)
- d) (4,6)

**Answer: (-1,0)**

#### Question: The straight line 3x+y=9 divides the segment joining the points (1,3) and (2,7) in the ratio

- a) 4:2
- b) 3:4
- c) 4:5
- d) 5:6

**Answer: 3:4**

#### Question: P and Q are points on the joining A(-2,5) and B(3,1) such that AP=PQ=QB. Then the midpoint of PQ is

- a) (1/2,3)
- b) (-1/2,4)
- c) (2,3)
- d) (1,4)

**Answer: (1/2,3)**

#### Question: Triangle ABC is right angled at A, the value of tan B tan C is :

- a) None of the above
- b) -1
- c) 0
- d) 1

**Answer: 1**

#### Question: The graph of a polynomial y = f(x) is shown in fig. The number of zeroes of f(x) is :

- a) 2
- b) 0
- c) 3/2
- d) 1

**Answer: 1**

#### Question: If mode = 80 and mean = 110 then the median is:

- a) 90
- b) 120
- c) 110
- d) 100

**Answer: 100**

#### Question: The following pairs of linear equations 2x + 5y = 3 and 6x + 15y = 12 represent :

- a) None from a, b, c
- b) Coincident lines
- c) Intersecting.
- d) Parallel lines

**Answer: Parallel lines**

#### Question: 3cosΘ=1,then the value of cosecΘ is:

- a) 4/3√2
- b) 6√3/3
- c) 2√2
- d) 3/2√2

**Answer: 3/2√2**

#### Question: ΔABC ~ ΔPQR,M is the mid-point of BC and B is the mid-point of QR.If the area of ABC = 100sq. cm and the area of PQR = 144 sq. cm If AM = 4 cm then PN is:

- a) 5.6 cm
- b) 4 cm
- c) 12 cm
- d) 4.8 cm

**Answer: 4.8 cm**

#### Question: If two positive integers a and b are written as a = x^{2} y^{2} and b = xy^{2} ; x,y are prime numbers then HCF (a, b) is :

- a) x
^{2}y^{2} - b) x
^{2}y^{3} - c) xy
- d) xy
^{2}

**Answer: ****xy ^{2}**

#### Question: For the decimal number 0.7 , the rational numbers is:

- a) 1/2
- b) 111/157
- c) 33/50
- d) 7/9

**Answer: 7/9**

#### Question: The graph y= p(x) is shown below. How many zeroes does the polynomial p(x) have?

- a) 1
- b) 2
- c) 3
- d) 4

**Answer: 4**

#### Question: Which of the following is not a measure of central tendency :

- a) Mode
- b) Median
- c) Mean
- d) Range

**Answer: Range**

#### Question: The number 7 x 11 x 13 + 13+13 x 2 is

- a) multiple of 7
- b) Neither prime nor composite
- c) Prime
- d) Composite

**Answer: Composite**

#### Question: HCF of the smallest composite number and the smallest prime number is

- a) 4
- b) 0
- c) 1
- d) 2

**Answer: 2**

#### Question: For what value of 'K' will the system of equations 3x + y = 1, (2K - 1) x + (K - 1) y = 2K + 1 have no solution.

- a) -2
- b) 1
- c) 3
- d) 2

**Answer: 2**

#### Question: If 3cotA = 4, then 1-tan^{2}A/1+tan^{2}A

- a) 7/16
- b) 16/25
- c) 9/25
- d) 7/25

**Answer: 7/25**

#### Question: If tan A = cot B, then A + B = ?

- a) 60°
- b) 45°
- c) 30°
- d) 90°

**Answer: 90°**

**More Questions**

**Question: The decimal expansion of the rational number 2 ^{3}/2^{3}-5 will terminate after.**

- a) more than three decimal places
- b) three decimal place
- c) two decimal places
- d) one decimal place

**Answer: one decimal place**

#### Question: n^{2} - 1 is divisible by 8, if n is

- a) an even integer
- b) a natural number
- c) an integer
- d) an odd integer

**Answer: an odd integer**

#### Question: If one of the zeroes of the quadratic polynomial (K - 1) x^{2} + 1 is - 3, then the value of k is

- a) -4/9
- b) 4/9
- c) -8/9
- d) 8/9

**Answer: 8/9**

#### Question: The lines representing the linear equations 2x - y = 3 and 4x - y = 5:

- a) intersect at exactly two points
- b) are coincident
- c) are parallel
- d) intersect at a point

**Answer: intersect at a point**

#### Question: Construction of a cumulative frequency table is useful in determining The:

- a) all the above three measures
- b) mode
- c) mean
- d) median

**Answer: median**

#### Question: If x = 3 sec^{2} θ - 1, y = tan^{2} θ - 2 then x - 3y is equal to

- a) 5
- b) 4
- c) 3
- d) 8

**Answer: 8**

#### Question: If cos θ + cos^{2} θ = 1, the value of (sin^{2} θ + sin^{4} θ) is

- a) 2
- b) -1
- c) 0
- d) 1

**Answer: 1**

#### Question: If ΔABC ~ ΔRQP, ∠A = 80°, ∠B = 60°, the value of ∠P is

- a) 30°
- b) 50°
- c) 60°
- d) 40°

**Answer: 40°**

#### Question: The relation connecting the measures of central tendencies is

- a) Mode = 3 median + 2 mean
- b) Mode = 2 median + 3 mean
- c) Mode = 2 median - 3 mean
- d) Mode = 3 median - 2 mean

**Answer: Mode = 3 median - 2 mean**

#### Question: IF α and ß are the zeroes of the polynomial 5x2 - 7x + 2, then sum of their reciprocals is:

- a) 17/12
- b) 2/5
- c) 7/5
- d) 7/2

**Answer: 7/2**

#### Question: The value of sin2 30° - cos2 30° is :

- a) 3/4
- b) 3/2
- c) √3/2
- d) -1/2

**Answer: -1/2**

#### Question: A rational number can be expressed as a terminating decimal if the denominator has factors.

- a) 3 or 5
- b) 2 or 3
- c) 2,3 or 5
- d) 2 or 5

**Answer: 2 or 5**

#### Question: Which of the following cannot be the sides a right triangle?

- a) 400 mm, 300 mm, 500 mm
- b) 2 cm, 1 cm,√5 cm
- c) 9 cm, 15 cm, 12 cm
- d) 9 cm 5 cm 7cm

**Answer: 9 cm 5 cm 7cm**

#### Question: Which of the following pair of linear equations is inconsistent?

- a) 9x - 8y = 17; 18x -16y = 34
- b) x - 2y = 6; 2x + 3y = 4
- c) 5x - 3y =11; 7x + 2y =13
- d) 2x + 3y = 7; 4x + 6y = 5

**Answer: 2x + 3y = 7; 4x + 6y = 5**

#### Question: If one root of the equation (p + q) 2 x 2 - 2 (p + q) x + k =0 is ,s/p+q then k is

- a) 15
- b) 50
- c) -50
- d) -15

**Answer: -15**

#### Question: If tan 2A = cot (A - 180), then the value of A is

- a) 70
- b) 240
- c) 180
- d) 360

**Answer: 360**

#### Question: The mean of a dataset with 12 observations is calculated as 19.25. If one more value is included in the data, then for the new data with 13 observations mean becomes 20. Value of this 13th observation is:

- a) 31
- b) 30
- c) 28
- d) 29

**Answer: 29**

#### Question: If A and B are the angles of a right angled triangle ABC, right angled at C then 1+cot2A =

- a) cot
^{2}B - b) tan
^{2}B - c) cos
^{2}B - d) sec
^{2}B

**Answer: ****sec ^{2}B**

#### Question: If α and β are the zeroes of the quadratic polynomial f (x) =x^{2} +2x+1, then 1/α+1/β is:

- a) 2
- b) 0
- c) -1
- d) -2

**Answer: -2**

#### Question: The pair of equations y = 0 and y = -7 has :

- a) infinitely many solutions
- b) two solutions
- c) one solution
- d) no solution

**Answer: no solution**

#### Question: How many prime factors are there in prime factorization of 5005?

- a) 7
- b) 6
- c) 2
- d) 4

**Answer: 4**

#### Question: Which of the following is defined?

- a) sec 90°
- b) cot 0°
- c) tan 90°
- d) cosec 90°

**Answer: cosec 90°**

#### Question: If sin (A - B) = 1/2 and cos (A + B) = 1/2 , then the value of B is :

- a) 0°
- b) 60°
- c) 45°
- d) 15°

**Answer: 15°**

#### Question: Which of the following numbers is irrational?

- a) 0.23232323
- b) 0.11111….
- c) 2.454545…
- d) 0.101100101010…….

**Answer: 0.101100101010…….**

#### Question: Which of the following equation has the sum of its roots as 3?

- a) x
^{2}+3x-5=0 - b) -x
^{2}+3x+3=0 - c)
√2x

^{2}-3/√2x-1 - d) 3x
^{2}-3x-3=0

**Answer: ****-x ^{2}+3x+3=0**

#### Question: The sum first five multiples of 3is

- a) 45
- b) 65
- c) 75
- d) 90

**Answer: 45**

#### Question: If radii of the two concentric circles are 15 cm and 17 cm,then the length of each chord of one circle which is tangent to other is

- a) 8cm
- b) 16cm
- c) 30cm
- d) 17cm

**Answer: 16cm**

#### Question: Two tagents making an angles of 120° with each other ,are drawn to a circle of radius 6cm,then the length of each tagent equal to

- a) √3cm
- b) 6√3cm
- c) √2cm
- d) 2√3cm

**Answer: 2√3cm**

#### Question: To draw a pair of tangent s to a circle which are inclined to each other at an angle of 100° it is required to draw tangents at end points of those two radii of the circle,the angle between which should be

- a) 100°
- b) 50°
- c) 80°
- d) 200°

**Answer: 80°**

#### Question: The height of cone is 60 cm.A small cone is cut off at the top by a plane parallel to the base and its volume is 1/64 th the volume of original cone .The height from base at which the section is made is

- a) 15cm
- b) 30cm
- c) 45cm
- d) 20cm

**Answer: 45cm**

#### Question: If the circumference of a circle is equal to the perimeter of a square then the ratio of their areas is

- a) 22:7
- b) 14:11
- c) 7:22
- d) 7:11

**Answer: 14:11**

#### Question: A pole 6m high casts a shadow 2√3m long on the ground,then the sun'selevation is

- a) 60°
- b) 45°
- c) 30°
- d) 90°

**Answer: 60°**

#### Question: Which of the following cannot be the probability of an event

- a) 1/5
- b) 0.3
- c) 4%
- d) 5/4

**Answer: 5/4**

**Click for more Mathematics Study Material**

**›**

CBSE Class 10 Mathematics Quadratic Equations MCQs Set A |

CBSE Class 10 Mathematics Quadratic Equations MCQs Set B |

CBSE Class 10 Mathematics Arithmetic Progression MCQs |

CBSE Class 10 Mathematics Triangles MCQs Set A |

CBSE Class 10 Mathematics Triangles MCQs Set B |

CBSE Class 10 Mathematics Triangles MCQs Set C |

CBSE Class 10 Mathematics Coordinate Geometry MCQs |

CBSE Class 10 Mathematics Application of Trigonometry MCQs Set A |

CBSE Class 10 Mathematics Application of Trigonometry MCQs Set B |

CBSE Class 10 Mathematics Circles MCQs Set A |

CBSE Class 10 Mathematics Circles MCQs Set B |

CBSE Class 10 Mathematics Constructions MCQs |

CBSE Class 10 Mathematics Areas related to circles MCQs Set A |

CBSE Class 10 Mathematics Areas related to circles MCQs Set B |

CBSE Class 10 Mathematics Statistics MCQs Set A |

CBSE Class 10 Mathematics Statistics MCQs Set B |

CBSE Class 10 Mathematics Statistics MCQs Set C |

CBSE Class 10 Mathematics Probability MCQs Set A |

CBSE Class 10 Mathematics Probability MCQs Set B |

CBSE Class 10 Mathematics Probability MCQs Set C |

CBSE Class 10 Mathematics MCQs Set A |

CBSE Class 10 Mathematics MCQs Set B |

CBSE Class 10 Mathematics MCQs Set C |

CBSE Class 10 Mathematics MCQs Set D |